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Finding the Third Proportional to 180,344 and 280,348

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Solution

The third proportional to 180,344 and 280,348 is: 435,806.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,344 : 280,348 = 280,348 : x
  2. Step 2: Convert to fraction form
    180,344/280,348 = 280,348/x
  3. Step 3: Cross multiply
    180,344x = 280,348 × 280,348
  4. Step 4: Simplify right side
    180,344x = 78,595,001,104
  5. Step 5: Solve for x
    x = 78,595,001,104/180,344
  6. Step 6: Final answer
    x = 435,806.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.